| 1 | MODULE flo4rk |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE flo4rk *** |
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| 4 | !! Ocean floats : trajectory computation using a 4th order Runge-Kutta |
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| 5 | !!====================================================================== |
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| 6 | #if defined key_floats |
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| 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_floats' float trajectories |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! flo_4rk : Compute the geographical position of floats |
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| 11 | !! flo_interp : interpolation |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | USE flo_oce ! ocean drifting floats |
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| 14 | USE oce ! ocean dynamics and tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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| 16 | USE in_out_manager ! I/O manager |
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| 17 | |
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| 18 | IMPLICIT NONE |
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| 19 | PRIVATE |
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| 20 | |
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| 21 | PUBLIC flo_4rk ! routine called by floats.F90 |
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| 22 | |
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| 23 | ! ! RK4 and Lagrange interpolation coefficients |
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| 24 | REAL(wp), DIMENSION (4) :: tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) ! |
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| 25 | REAL(wp), DIMENSION (4) :: tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) ! |
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| 26 | REAL(wp), DIMENSION (4) :: scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) ! |
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| 27 | REAL(wp), DIMENSION (4) :: rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! |
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| 28 | REAL(wp), DIMENSION (3) :: scoef1 = (/ 0.5 , 0.5 , 1.0 /) ! |
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| 29 | |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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| 32 | !! $Id$ |
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| 33 | !! Software governed by the CeCILL license (see ./LICENSE) |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | CONTAINS |
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| 36 | |
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| 37 | SUBROUTINE flo_4rk( kt ) |
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| 38 | !!---------------------------------------------------------------------- |
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| 39 | !! *** ROUTINE flo_4rk *** |
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| 40 | !! |
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| 41 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
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| 42 | !! of each float at each time step. |
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| 43 | !! |
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| 44 | !! ** Method : The position of a float is computed with a 4th order |
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| 45 | !! Runge-Kutta scheme and and Lagrange interpolation. |
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| 46 | !! We need to know the velocity field, the old positions of the |
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| 47 | !! floats and the grid defined on the domain. |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 50 | !! |
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| 51 | INTEGER :: jfl, jind ! dummy loop indices |
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| 52 | INTEGER :: ierror ! error value |
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| 53 | |
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| 54 | REAL(wp), DIMENSION(jpnfl) :: zgifl , zgjfl , zgkfl ! index RK positions |
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| 55 | REAL(wp), DIMENSION(jpnfl) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
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| 56 | REAL(wp), DIMENSION(jpnfl,4) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
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| 57 | !!--------------------------------------------------------------------- |
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| 58 | ! |
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| 59 | IF( ierror /= 0 ) THEN |
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| 60 | IF(lwp) THEN |
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| 61 | WRITE(numout,*) 'flo_4rk: allocation of workspace arrays failed' |
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| 62 | IF(lflush) CALL FLUSH(numout) |
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| 63 | ENDIF |
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| 64 | ENDIF |
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| 65 | |
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| 66 | |
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| 67 | IF( kt == nit000 .AND. lwp) THEN |
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| 68 | WRITE(numout,*) |
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| 69 | WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
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| 70 | WRITE(numout,*) '~~~~~~~' |
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| 71 | IF(lflush) CALL FLUSH(numout) |
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| 72 | ENDIF |
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| 73 | |
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| 74 | ! Verification of the floats positions. If one of them leave the domain |
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| 75 | ! domain we replace the float near the border. |
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| 76 | DO jfl = 1, jpnfl |
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| 77 | ! i-direction |
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| 78 | IF( tpifl(jfl) <= 1.5 ) THEN |
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| 79 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 80 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
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| 81 | tpifl(jfl) = tpifl(jfl) + 1. |
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| 82 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
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| 83 | ENDIF |
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| 84 | |
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| 85 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
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| 86 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 87 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
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| 88 | tpifl(jfl) = tpifl(jfl) - 1. |
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| 89 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
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| 90 | ENDIF |
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| 91 | ! j-direction |
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| 92 | IF( tpjfl(jfl) <= 1.5 ) THEN |
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| 93 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 94 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
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| 95 | tpjfl(jfl) = tpjfl(jfl) + 1. |
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| 96 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 97 | ENDIF |
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| 98 | |
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| 99 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
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| 100 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 101 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
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| 102 | tpjfl(jfl) = tpjfl(jfl) - 1. |
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| 103 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 104 | ENDIF |
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| 105 | ! k-direction |
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| 106 | IF( tpkfl(jfl) <= .5 ) THEN |
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| 107 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 108 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
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| 109 | tpkfl(jfl) = tpkfl(jfl) + 1. |
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| 110 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 111 | ENDIF |
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| 112 | |
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| 113 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
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| 114 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 115 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
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| 116 | tpkfl(jfl) = tpkfl(jfl) - 1. |
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| 117 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 118 | ENDIF |
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| 119 | END DO |
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| 120 | |
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| 121 | IF(lflush .AND. lwp) CALL FLUSH(numout) |
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| 122 | |
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| 123 | ! 4 steps of Runge-Kutta algorithme |
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| 124 | ! initialisation of the positions |
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| 125 | |
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| 126 | DO jfl = 1, jpnfl |
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| 127 | zgifl(jfl) = tpifl(jfl) |
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| 128 | zgjfl(jfl) = tpjfl(jfl) |
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| 129 | zgkfl(jfl) = tpkfl(jfl) |
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| 130 | END DO |
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| 131 | |
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| 132 | DO jind = 1, 4 |
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| 133 | |
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| 134 | ! for each step we compute the compute the velocity with Lagrange interpolation |
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| 135 | CALL flo_interp( zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
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| 136 | |
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| 137 | ! computation of Runge-Kutta factor |
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| 138 | DO jfl = 1, jpnfl |
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| 139 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
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| 140 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
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| 141 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
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| 142 | END DO |
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| 143 | IF( jind /= 4 ) THEN |
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| 144 | DO jfl = 1, jpnfl |
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| 145 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
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| 146 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
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| 147 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
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| 148 | END DO |
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| 149 | ENDIF |
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| 150 | END DO |
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| 151 | DO jind = 1, 4 |
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| 152 | DO jfl = 1, jpnfl |
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| 153 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
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| 154 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
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| 155 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
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| 156 | END DO |
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| 157 | END DO |
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| 158 | ! |
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| 159 | ! |
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| 160 | END SUBROUTINE flo_4rk |
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| 161 | |
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| 162 | |
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| 163 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
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| 164 | & pufl, pvfl, pwfl, ki ) |
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| 165 | !!---------------------------------------------------------------------- |
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| 166 | !! *** ROUTINE flointerp *** |
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| 167 | !! |
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| 168 | !! ** Purpose : Interpolation of the velocity on the float position |
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| 169 | !! |
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| 170 | !! ** Method : Lagrange interpolation with the 64 neighboring |
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| 171 | !! points. This routine is call 4 time at each time step to |
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| 172 | !! compute velocity at the date and the position we need to |
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| 173 | !! integrated with RK method. |
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| 174 | !!---------------------------------------------------------------------- |
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| 175 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
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| 176 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
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| 177 | INTEGER , INTENT(in ) :: ki ! |
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| 178 | !! |
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| 179 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
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| 180 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
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| 181 | INTEGER , DIMENSION(jpnfl) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
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| 182 | INTEGER , DIMENSION(jpnfl) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
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| 183 | INTEGER , DIMENSION(jpnfl) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
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| 184 | INTEGER , DIMENSION(jpnfl,4) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
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| 185 | INTEGER , DIMENSION(jpnfl,4) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
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| 186 | INTEGER , DIMENSION(jpnfl,4) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
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| 187 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
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| 188 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxv, zlagyv, zlagzv ! - - |
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| 189 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxw, zlagyw, zlagzw ! - - |
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| 190 | REAL(wp) , DIMENSION(jpnfl,4,4,4) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
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| 191 | !!--------------------------------------------------------------------- |
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| 192 | |
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| 193 | ! Interpolation of U velocity |
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| 194 | |
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| 195 | ! nearest neightboring point for computation of u |
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| 196 | DO jfl = 1, jpnfl |
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| 197 | iilu(jfl) = INT(pxt(jfl)-.5) |
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| 198 | ijlu(jfl) = INT(pyt(jfl)-.5) |
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| 199 | iklu(jfl) = INT(pzt(jfl)) |
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| 200 | END DO |
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| 201 | |
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| 202 | ! 64 neightboring points for computation of u |
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| 203 | DO jind1 = 1, 4 |
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| 204 | DO jfl = 1, jpnfl |
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| 205 | ! i-direction |
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| 206 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
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| 207 | ELSE |
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| 208 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
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| 209 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
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| 210 | ENDIF |
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| 211 | ENDIF |
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| 212 | ! j-direction |
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| 213 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
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| 214 | ELSE |
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| 215 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
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| 216 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
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| 217 | ENDIF |
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| 218 | ENDIF |
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| 219 | ! k-direction |
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| 220 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
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| 221 | ELSE |
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| 222 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
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| 223 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
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| 224 | ENDIF |
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| 225 | ENDIF |
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| 226 | END DO |
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| 227 | END DO |
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| 228 | |
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| 229 | ! Lagrange coefficients |
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| 230 | DO jfl = 1, jpnfl |
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| 231 | DO jind1 = 1, 4 |
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| 232 | zlagxu(jfl,jind1) = 1. |
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| 233 | zlagyu(jfl,jind1) = 1. |
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| 234 | zlagzu(jfl,jind1) = 1. |
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| 235 | END DO |
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| 236 | END DO |
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| 237 | DO jind1 = 1, 4 |
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| 238 | DO jind2 = 1, 4 |
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| 239 | DO jfl= 1, jpnfl |
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| 240 | IF( jind1 /= jind2 ) THEN |
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| 241 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
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| 242 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
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| 243 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
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| 244 | ENDIF |
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| 245 | END DO |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | |
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| 249 | ! velocity when we compute at middle time step |
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| 250 | |
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| 251 | DO jfl = 1, jpnfl |
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| 252 | DO jind1 = 1, 4 |
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| 253 | DO jind2 = 1, 4 |
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| 254 | DO jind3 = 1, 4 |
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| 255 | ztufl(jfl,jind1,jind2,jind3) = & |
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| 256 | & ( tcoef1(ki) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
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| 257 | & tcoef2(ki) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
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| 258 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
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| 259 | END DO |
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| 260 | END DO |
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| 261 | END DO |
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| 262 | |
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| 263 | zsumu = 0. |
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| 264 | DO jind1 = 1, 4 |
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| 265 | DO jind2 = 1, 4 |
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| 266 | DO jind3 = 1, 4 |
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| 267 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
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| 268 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 269 | END DO |
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| 270 | END DO |
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| 271 | END DO |
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| 272 | pufl(jfl) = zsumu |
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| 273 | END DO |
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| 274 | |
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| 275 | ! Interpolation of V velocity |
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| 276 | |
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| 277 | ! nearest neightboring point for computation of v |
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| 278 | DO jfl = 1, jpnfl |
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| 279 | iilv(jfl) = INT(pxt(jfl)-.5) |
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| 280 | ijlv(jfl) = INT(pyt(jfl)-.5) |
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| 281 | iklv(jfl) = INT(pzt(jfl)) |
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| 282 | END DO |
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| 283 | |
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| 284 | ! 64 neightboring points for computation of v |
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| 285 | DO jind1 = 1, 4 |
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| 286 | DO jfl = 1, jpnfl |
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| 287 | ! i-direction |
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| 288 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
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| 289 | ELSE |
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| 290 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
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| 291 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
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| 292 | ENDIF |
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| 293 | ENDIF |
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| 294 | ! j-direction |
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| 295 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
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| 296 | ELSE |
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| 297 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
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| 298 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
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| 299 | ENDIF |
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| 300 | ENDIF |
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| 301 | ! k-direction |
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| 302 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
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| 303 | ELSE |
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| 304 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
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| 305 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
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| 306 | ENDIF |
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| 307 | ENDIF |
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| 308 | END DO |
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| 309 | END DO |
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| 310 | |
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| 311 | ! Lagrange coefficients |
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| 312 | |
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| 313 | DO jfl = 1, jpnfl |
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| 314 | DO jind1 = 1, 4 |
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| 315 | zlagxv(jfl,jind1) = 1. |
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| 316 | zlagyv(jfl,jind1) = 1. |
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| 317 | zlagzv(jfl,jind1) = 1. |
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| 318 | END DO |
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| 319 | END DO |
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| 320 | |
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| 321 | DO jind1 = 1, 4 |
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| 322 | DO jind2 = 1, 4 |
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| 323 | DO jfl = 1, jpnfl |
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| 324 | IF( jind1 /= jind2 ) THEN |
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| 325 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
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| 326 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
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| 327 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
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| 328 | ENDIF |
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| 329 | END DO |
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| 330 | END DO |
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| 331 | END DO |
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| 332 | |
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| 333 | ! velocity when we compute at middle time step |
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| 334 | |
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| 335 | DO jfl = 1, jpnfl |
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| 336 | DO jind1 = 1, 4 |
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| 337 | DO jind2 = 1, 4 |
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| 338 | DO jind3 = 1 ,4 |
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| 339 | ztvfl(jfl,jind1,jind2,jind3)= & |
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| 340 | & ( tcoef1(ki) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
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| 341 | & tcoef2(ki) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
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| 342 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
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| 343 | END DO |
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| 344 | END DO |
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| 345 | END DO |
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| 346 | |
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| 347 | zsumv=0. |
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| 348 | DO jind1 = 1, 4 |
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| 349 | DO jind2 = 1, 4 |
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| 350 | DO jind3 = 1, 4 |
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| 351 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
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| 352 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | END DO |
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| 356 | pvfl(jfl) = zsumv |
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| 357 | END DO |
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| 358 | |
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| 359 | ! Interpolation of W velocity |
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| 360 | |
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| 361 | ! nearest neightboring point for computation of w |
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| 362 | DO jfl = 1, jpnfl |
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| 363 | iilw(jfl) = INT( pxt(jfl) ) |
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| 364 | ijlw(jfl) = INT( pyt(jfl) ) |
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| 365 | iklw(jfl) = INT( pzt(jfl)+.5) |
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| 366 | END DO |
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| 367 | |
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| 368 | ! 64 neightboring points for computation of w |
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| 369 | DO jind1 = 1, 4 |
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| 370 | DO jfl = 1, jpnfl |
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| 371 | ! i-direction |
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| 372 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
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| 373 | ELSE |
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| 374 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
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| 375 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
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| 376 | ENDIF |
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| 377 | ENDIF |
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| 378 | ! j-direction |
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| 379 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
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| 380 | ELSE |
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| 381 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
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| 382 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
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| 383 | ENDIF |
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| 384 | ENDIF |
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| 385 | ! k-direction |
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| 386 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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| 387 | ELSE |
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| 388 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 389 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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| 390 | ENDIF |
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| 391 | ENDIF |
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| 392 | END DO |
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| 393 | END DO |
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| 394 | DO jind1 = 1, 4 |
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| 395 | DO jfl = 1, jpnfl |
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| 396 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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| 397 | ELSE |
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| 398 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 399 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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| 400 | ENDIF |
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| 401 | ENDIF |
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| 402 | END DO |
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| 403 | END DO |
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| 404 | |
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| 405 | ! Lagrange coefficients for w interpolation |
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| 406 | DO jfl = 1, jpnfl |
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| 407 | DO jind1 = 1, 4 |
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| 408 | zlagxw(jfl,jind1) = 1. |
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| 409 | zlagyw(jfl,jind1) = 1. |
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| 410 | zlagzw(jfl,jind1) = 1. |
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| 411 | END DO |
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| 412 | END DO |
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| 413 | DO jind1 = 1, 4 |
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| 414 | DO jind2 = 1, 4 |
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| 415 | DO jfl = 1, jpnfl |
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| 416 | IF( jind1 /= jind2 ) THEN |
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| 417 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
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| 418 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
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| 419 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
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| 420 | ENDIF |
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| 421 | END DO |
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| 422 | END DO |
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| 423 | END DO |
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| 424 | |
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| 425 | ! velocity w when we compute at middle time step |
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| 426 | DO jfl = 1, jpnfl |
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| 427 | DO jind1 = 1, 4 |
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| 428 | DO jind2 = 1, 4 |
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| 429 | DO jind3 = 1, 4 |
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| 430 | ztwfl(jfl,jind1,jind2,jind3)= & |
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| 431 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
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| 432 | & tcoef2(ki) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
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| 433 | & / e3w_n(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) |
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| 434 | END DO |
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| 435 | END DO |
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| 436 | END DO |
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| 437 | |
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| 438 | zsumw = 0.e0 |
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| 439 | DO jind1 = 1, 4 |
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| 440 | DO jind2 = 1, 4 |
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| 441 | DO jind3 = 1, 4 |
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| 442 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
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| 443 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 444 | END DO |
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| 445 | END DO |
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| 446 | END DO |
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| 447 | pwfl(jfl) = zsumw |
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| 448 | END DO |
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| 449 | ! |
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| 450 | ! |
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| 451 | END SUBROUTINE flo_interp |
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| 452 | |
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| 453 | # else |
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| 454 | !!---------------------------------------------------------------------- |
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| 455 | !! No floats Dummy module |
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| 456 | !!---------------------------------------------------------------------- |
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| 457 | #endif |
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| 458 | |
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| 459 | !!====================================================================== |
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| 460 | END MODULE flo4rk |
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